Existence of p-adic quasi Gibbs measure for countable state Potts model on the Cayley tree

• Main Author: Mukhamedov, Farrukh
• Format: Article
• Language: English
• Published: Springer Link 2012
• Subjects: QA Mathematics
• Online Access: http://irep.iium.edu.my/24952/1/mf-JInqApp%282012%29.pdf; http://irep.iium.edu.my/24952/; http://link.springer.com/article/10.1186/1029-242X-2012-104?null

In the present article, we provide a new construction of measure, called p-adic quasi Gibbs measure, for countable state of p-adic Potts model on the Cayley tree. Such a construction depends on a parameter p and wights. In particular case, i.e., if p = exp_p, the defined measure coincides with p-...